Homework Help:
Proof of Conservative Force

1. The problem statement, all variables and given/known data
Show that a central force between two objects, ie. one that acts along the vector connecting their centres, r[tex]^{[tex]\Downarrow[/tex]}[/tex],with a strength that depends on only r, is a conservative force. I am supposed to do this in cartesian coordinates and show that the work is zero or that the work only depends on the endpoints.

2. Relevant equations

3. The attempt at a solution

I know that F=F(r)r, and that W = [tex]\int[/tex]F. dr from A to A = 0. I tried breaking it into x,y,z components because of the cartesian hint, but I don't know what to do from there.